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Towards Bootstrapping QED$_3$

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arxiv 1601.03476 v2 pith:NHLPI2EK submitted 2016-01-14 hep-th

Shai M. Chester , Silviu S. Pufu This is my paper
classification hep-th
keywords monopoleboundsdimensionsdoubly-chargedoperatoroperatorsscalingassuming
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We initiate the conformal bootstrap study of Quantum Electrodynamics in $2+1$ space-time dimensions (QED$_{3}$) with $N$ flavors of charged fermions by focusing on the 4-point function of four monopole operators with the lowest unit of topological charge. We obtain upper bounds on the scaling dimension of the doubly-charged monopole operator, with and without assuming other gaps in the operator spectrum. Intriguingly, we find a (gap-dependent) kink in these bounds that comes reasonably close to the large $N$ extrapolation of the scaling dimensions of the singly-charged and doubly-charged monopole operators down to $N=4$ and $N=6$.

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Cited by 4 Pith papers

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  4. Lectures on Semiclassical Methods for Composite Operators

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.

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